Information Geometry

Near Randomness and Near Independence

  • Khadiga A. Arwini
  • Christopher T. J. Dodson

Part of the Lecture Notes in Mathematics book series (LNM, volume 1953)

Table of contents

About this book

Introduction

This volume will be useful to practising scientists and students working in the application of statistical models to real materials or to processes with perturbations of a Poisson process, a uniform process, or a state of independence for a bivariate process. We use information geometry to provide a common differential geometric framework for a wide range of illustrative applications including amino acid sequence spacings in protein chains, cryptology studies, clustering of communications and galaxies, cosmological voids, coupled spatial statistics in stochastic fibre networks and stochastic porous media, quantum chaology. Introduction sections are provided to mathematical statistics, differential geometry and the information geometry of spaces of probability density functions.

Keywords

Clustering Riemannian geometry STATISTICA Signal communication differential geometry hydrology information theory mathematical statistics

Authors and affiliations

  • Khadiga A. Arwini
    • 1
  • Christopher T. J. Dodson
    • 2
  1. 1.Mathematics DepartmentAl-Fateh UniversityTripoliLibya
  2. 2.School of MathematicsUniversity of ManchesterManchesterUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-69393-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-69391-8
  • Online ISBN 978-3-540-69393-2
  • Series Print ISSN 0075-8434
  • About this book